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Finding the Fourth Proportional to 4,668.14, 7,000.34 and 2,326.44

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Solution

The fourth proportional to 4,668.14, 7,000.34 and 2,326.44 is: 3,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.14 : 7,000.34 = 2,326.44 : x
  2. Step 2: Convert to fraction form
    4,668.14/7,000.34 = 2,326.44/x
  3. Step 3: Cross multiply
    4,668.14x = 7,000.34 × 2,326.44
  4. Step 4: Simplify right side
    4,668.14x = 16,285,870.99
  5. Step 5: Solve for x
    x = 16,285,870.99/4,668.14
  6. Step 6: Final answer
    x = 3,488.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.